reducibility's Usage Examples:

computability theorists study the theory of relative computability, reducibility notions, and degree structures; those in the computer science field focus.

Arithmetical reducibility is an intermediate notion between Turing reducibility and hyperarithmetic reducibility.

many-one reducibility if there exists no reduction from a language in C to a language outside C.

If a class is closed under many-one reducibility, then many-one.

first formal definition of relative computability, then called relative reducibility, was given by Alan Turing in 1939 in terms of oracle machines.

relativized hyperarithmetical hierarchy is used to define hyperarithmetical reducibility.

It does not matter whether many-one reducibility or Turing reducibility is used.

"semi-simplicity" is also called complete reducibility.

For example, Weyl's theorem on complete reducibility says a finite-dimensional representation of.

In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied.

(1988), "On truth-table reducibility to SAT and the difference hierarchy over NP", Proceedings of Third Annual.

The axiom of reducibility was introduced by Bertrand Russell in the early 20th century as part of his ramified theory of types.

computablity theory and computational complexity theory, enumeration reducibility is a method of reduction that determines if there is some effective procedure.

Random self-reducibility (RSR) is the rule that a good algorithm for the average case implies a good algorithm for the worst case.

reason it is said to be a stronger reducibility than Turing reducibility, because it implies Turing reducibility.

15 together with the Axioms of reducibility.